Harrison School District

Transcription

1 Harrison School District Curricular Documentation Harrison High School Math Pam Jones Curriculum Coordinator 1

2 Harrison School District Curricular Documentation Algebra I for HHS Pam Jones Curriculum Coordinator 2

3 The following curricular documents reflect a collaborative effort by the teachers and administrators of the Harrison School District to meet the Arkansas Learning Standards: From the Arkansas Department of Education: Arkansas Learning Standards are defined in the Arkansas Curriculum Frameworks, which are discipline-based and clearly describe what students must know and be able to do in each academic content area. The rigorous academic content standards and the student learning expectations within each document provide the focus for instruction for each local school district, without rigidly prescribing every element of the local curriculum. Student demonstration of the standards and learning expectations within the Arkansas Curriculum Frameworks is the anchor for the entire education system, with instructional programs, state-level assessments, professional development, school improvement planning, teacher/administrator licensure, and accountability sharing the common goal of improved student learning and performance around these standards. CURRICULUM MAP: Harrison School District 3

4 Harrison School District Teacher: F. McFarland August May 2008 Grade: 10 th -12th Subject: Algebra I LA.1.AI.3 LA.1.AI.1 LA.1.AI.2 LA.1.AI.2 SEI.2.AI.8 LA.1.AI.1 LA.1.AI.1 DIP.5.AI.2 DIP.5.AI.3 LA.1.AI.1 SEI.2.AI.5 DIP.5.AI.2 I. Algebra Introduction (Week #1 - #4) A. Terms, operations, variables, exponents B. Order of operations C. Equations & inequalities D. Verbal models, problem solving II. Rules of Algebra (Weeks #3 - #5) A. Number line, absolute value B. Add, subtract, multiply, and divide integers C. Add & subtract matrices D. Distributive property E. Rates & ratios F. Scalar multiplication Represent numbers and operations Use the order of operations to evaluate expressions, including variables and exponents Solve and check equations and inequalities Translate verbal phrases and real-life problems into algebra Graph and find opposite and absolute value using the number line Add, subtract, multiply and divide integers Add and subtract matrices Use the distributive property Use rates and ratios to relate quantities Multiply a matrix by a scalar DIP.5.AI.6 DIP.5.AI.4 DIP.5.AI.5 Daily Practice Released Items III. Statistics (Week #5) A. Table, frequency distribution, line plot, bar graph, timeline, circle graph Mean, mode, median Stem & leaf plot, box & whisker plot Use tables and graphs to organize data Construct a stem-and-leaf plot and box-and-whisker plot Find and use measures of central tendency to describe data Teacher Made Test Prentice Hall textbook Notebook Released items Released Items Calculators TI-Navigator System 4

5 SEI.2.AI.1 SEI.2.AI.1 SEI.2.AI.5 SEI.2.AI.8 LF.3.AI.5 DIP.5.AI.10 SEI.2.AI.1 SEI.2.AI.3 IV. Solving equations (Week #6 - #10) Solve multi-step equations Solve equations with variables on both sides Problem solving using linear equations Literal equations Solve equations using inverse operations Use equations to solve real-life problems Solve literal equations, especially formulas, for a specified variable SEI. 2.AI.1 SEI.2.AI.4 DIP.5.AI.7 SEI.2.AI.4 LA.1.AI.3 NLF.4.AI.4 NLF.4AI.5 DIP.5.AI.10 LA.1.AI.3 LA.1.AI.4 V. Inequalities (Week #11 - #14) A. Solve simple & compound inequalities B. Absolute value inequalities C. Graph inequalities in two variables VI. Exponents (Week #15 - #17) A. Multiply & divide with exponents B. Negative & zero exponents C. Problem solving with exponents D. Scientific notation Graph and solve simple and compound linear inequalities in one variable Use a linear inequality as a model for a real-life situation Solve absolute value inequalities Graph inequalities in two variables Multiply and divide expressions with exponents Use negative and zero exponents in algebraic expressions Use powers to model real-life situations Use scientific notation to express large and small numbers Daily Practice Released Items Teacher Made Test Prentice Hall textbook Notebook Released items Released Items Calculators TI-Navigator System 5

6 LA.1AI.7 SEI.2.AI.1 LF.3.AI.5 LF.3.AI.6 LF.3.AI.8 LF.3.AI.9 NLF.4.AI.2 DIP.5.AI.1 DIP.5.AI.7 DIP.5.AI.9 SEI.2.AI.4 NLF.4.AI.2 NLF.4.AI.4 NLF.4.AI.5 VII. Linear graphing (Week #18 - #21) (Week #26 Abs Value) A. Graph points, vertical & horizontal lines, table of values, standard form, slopeintercept form B. Graph absolute value, solve absolute value equations Graph points Graph vertical and horizontal lines Graph using table of values Graph using intercepts Graph using slope and y-intercept Graph and solve absolute value equations LF.3.AI.8 LF.3.AI.8 DIP.5.AI.1 DIP.5.AI.9 SEI.2.AI.5 SEI.2.AI.8 LF.3.AI.5 LF.3.AI.8 VIII. Writing linear equations (Week #21 - #27) A. Write linear equations in the Form y = mx + b B. Line of best fit C. Problem solving using linear models Write linear equations given slope, y-intecept, or points on the line Find a linear equation that approximates a set of data points Create and use linear models to solve problems Daily Practice Released Items Prentice Hall textbook Teacher Made Test Released items Notebook Calculators Released Items TI-Navigator System 6

7 SEI.2.AI.2 LF.3.AI.7 SEI.2.AI.2 SEI.2.AI.5 SEI.2.AI.8 LF.3.AI.7 DIP.5.AI.10 SEI.2.AI.2 IX. Systems of equations (Week #28 - #29) A. Solve systems by graphing, substitution, & linear combinations B. Problem solving using systems C. Graph systems of inequalities Solve a system of linear equations by graphing, substitution, and linear combination Write and use a linear system as a real-life model Solve a system of linear inequalities by graphing Determine by using slope if two lines are parallel, perpendicular, or neither Daily Practice Released Items Teacher Made Test Prentice Hall textbook Notebook Released items Released Items Calculators TI-Navigator System LA.1.AI.1 SEI.2.AI.7 NLF.4.AI.2 NLF.4.AI.4 NLF.4.AI.5 DIP.5.AI.7 NLF.4.AI.3 NLF.4.AI.3 X. Quadratic Equations (Week #30 - #34) A. Square roots B. Pythagorean theorem C. Parabolas D. Solve by finding square roots E. Quadratic formula Evaluate and approximate square roots Use the Pythagorean theorem Solve a quadratic equation by finding square roots Sketch the graphs of quadratic equations and inequalities Use the quadratic formula to solve a quadratic equation Daily Practice Released Items Teacher Made Test Prentice Hall textbook Notebook Released items Released Items Calculators TI-Navigator System 7

8 LA.1.AI.5 LA.1.AI.6 NLF.4.AI.1 NLF.4.AI.3 XI. Polynomials & factoring (Week #35 - #39) A. Add, subtract, & multiply polynomials B. Factor polynomials C. Solve equations by factoring Add and subtract polynomials Multiply polynomials using FOIL and special patterns Factor polynomials Use factoring to solve quadratic equations Daily Practice Released Items Teacher Made Test Prentice Hall textbook Notebook Released items Released Items Calculators TI-Navigator System 8

9 LF.3.AI.1 XII. Functions (All year long) Identify functions from mappings, tables, ordered pairs, LF.3.AI.3 A. Relations & functions graphs, and from real life NLF.4.AI.4 B. Function notation LF.3.AI.2 LF.3.AI.4 C. Vertical line test D. Domain & range Use vocabulary associated with functions Use function notation E. Independent & dependent variable SEI.2.AI.6 SEI.2.AI.5 SEI.2.AI.8 DIP.5.AI.10 DIP.5.AI.8 XIII. Proportions, percents, probability (End of year) A. Ratios & proportion B. Direct & inverse variation C. Problem solving using percents D. Probability Solve proportions Solve percent problems Use direct and inverse variation Find the probability of an event Daily Practice Released Items Teacher Made Test Prentice Hall textbook Notebook Released items Released Items Calculators TI-Navigator System LA.1.AI.1 SEI.2.AI.7 LA.1.AI.1 LA.1.AI.8 LA.1.AI.9 SEI.2.AI.1 LA.1.AI.1 SEI.2.AI.7 LA.1.AI.1 LA.1.AI.8 LA.1.AI.9 SEI.2.AI.1 XIV. Radicals (End of year) A. Distance & midpoint formulas B. Simplifying radicals C. Operations with radicals D. Solving radical equations XV. Rational Equations (End of year) A. Simplify, multiply, divide rational expressions B. Divide polynomials C. Solve rational equations Find the distance and midpoint between two points Simplify radicals Add and subtract radical expressions Solve radical equations Simplify, multiply, and divide rational expressions Divide a polynomial by a monomial or a binomial Solve rational equations 9

10 Daily Practice Released Items Teacher Made Test Notebook Released Items Prentice Hall textbook Released items Calculators TI-Navigator System 10

11 Harrison School District Curricular Documentation Algebra B HHS Pam Jones Curriculum Coordinator 11

12 CURRICULUM MAP: Harrison School District Harrison School District Teacher: McFarland August May 2008 Grade: HHS Subject: Second Part Algebra I Timeframe (9 Weeks/Month/Semester): August/September/October Review as necessary Algebra Language Literal Equations Slope Slope-Intercept Form Point-Slope Form Graphs of Linear Equations Parallel and Perpendicular Lines Standard Form Real Life Applications using Slope-Intercept Form and Standard Form Functions and Function Notation Daily practice with and without technology Algebra Bingo solving equations Graphing with individual marker boards Vocabulary development Personal Word Wall Teacher made tests and quizzes Calculator assessments Algebra 1 (Prentice Hall) Making Practice Fun Developing Skills in Algebra 1 TI-84 Programs (D. Smeltz) Nasco Bingo Timeframe (9 Weeks/Month/Semester): October/November Systems of Equations and Inequalities 12

13 SEI.2.AI.2 SEI.2.AI.7 SEI.2.AI.8 SEI.2.AI.2 SEI.2.AI.8 LA.1.AI.1 LA.1.AI.5 SEI.2.AI.2 SEI.2.AI.8 SEI.2.AI.1 SEI.2.AI.8 Graphs of Systems Substitution Method Elimination Method Applications of Systems Linear Inequalities Systems of Linear Inequalities Solve systems of linear equations by finding the intersection point of the lines with and without technology. Check the solution analytically. Analyze systems with no solutions and infinitely many solutions. Solve systems of linear equations analytically using the substitution method. Check solution both graphically and analytically. Solve systems of linear equations analytically using the elimination method, or linear combinations method. Verify solutions both analytically and graphically. Write a system of linear equations to model a real life situation. Equations may be in either slope-intercept form or standard form. Graph and appropriately shade linear inequalities. Model real life situations with linear inequalities. Solve systems of linear inequalities by graphing. Model real life situations with a system of linear inequalities. Graphing with individual marker boards Algebra Bingo Solving Systems of Equations Vocabulary development Personal Word Wall Daily practice with and without technology Teacher made tests and quizzes Calculator assessments Algebra 1 (Prentice Hall) Developing Skills in Algebra 1 TI-84 programs (D. Smeltz) Nasco Bingo Timeframe (9 Weeks/Month/Semester): November Exponent LA.1.AI.1 LA.1.AI.3 LA.1.AI.4 LA.1.AI.3 LA.1.AI.4 Zero and Negative Exponents Scientific Notation Multiplication Properties Apply the laws of zero and negative exponents to simplify and evaluate expressions. Represent decimals in scientific notation. Apply exponential rules to simplify expressions and multiply numbers in scientific notation. Multiply powers with the same bases. Raise a power and a product to a power. Apply exponential rules to divide powers with the same base and raise a quotient to a power. 13

14 LA.1.AI.3 NLF.3.AI.4 NLF.3.AI.5 Division Properties Exponential Functions Evaluate and graph exponential functions. Daily practice with and without technology Vocabulary development Personal Word Wall Teacher made tests and quizzes Calculator assessments Algebra 1 (Prentice Hall) Developing Skills in Algebra 1 TI-84 programs (D. Smeltz) Timeframe (9 Weeks/Month/Semester): December/January Polynomials LA.1.AI.5 LA.1.AI.5 NLF.3.AI.1 SEI.2.AI.8 NLF.3.AI.1 Polynomial Operations Describe a polynomial based on its degree and number of terms. Add and subtract polynomial expressions by combining like terms. Multiplying and Factoring Use the distributive property and FOIL to multiply polynomials. Multiply special binomials for pattern recognition i.e. difference of squares and perfect square trinomial. Factor a common monomial from a polynomial. Factoring Factor polynomials in which the leading coefficient is one and when the leading coefficient is not one. Recognize patterns in polynomials to factor a difference of squares and a perfect square trinomial. Daily practice with and without technology Factoring puzzle matching expanded form with factored form Tic-Tac-Toe method for factoring polynomials Vocabulary development Personal Word Wall Teacher made tests and quizzes Calculator assessments Algebra 1 (Prentice Hall) Handley High School (web page) TI-84 programs (D. Smeltz) Making Practice Fun 14

15 Timeframe (9 Weeks/Month/Semester): January/February The student will be able to. Quadratic Equations and Functions NLF.3.AI.2 NLF.3.AI.4 NLF.3.AI.5 LA.1.AI.1 LA.1.AI.8 SEI.2.AI.7 NLF.3.AI.1 NLF.3.AI.3 NLF.3.AI.5 NLF.3.AI.3 NLF.3.AI.5 DIP.5.AI.5 DIP.5.AI.7 DIP.5.AI.10 DIP.5.AI.11 DIP.5.AI.12 NLF.3.AI.4 Quadratic Graphs Square Roots Quadratic Solutions Discriminant Data Models Daily practice with and without technology Vocabulary Development Personal Word Wall Graphing with individual marker boards Graph a quadratic equation in the form y=ax 2, y=ax 2 +c, and y=ax 2 +bx+c. Determine a graph s axis of symmetry, vertex, minimum, maximum, and zeros. Apply the graph of a quadratic equation to real life situations. Recognize a perfect square. Use perfect squares to estimate square roots, and calculate square roots with a calculator. Evaluate radicals and classify the result as rational or irrational. Solve quadratic equations by graphing and identifying its zero(s) with and without technology. Solve quadratics in the form y=ax 2 +c using square roots. Solve quadratic equations in the form y=ax 2 +bx+c by factoring and applying the zero-product property. Solve quadratic equations by using the quadratic formula. Develop an understanding of choosing the appropriate method for solving quadratic equations. Use the discriminant to determine the number of solutions for a quadratic equation. Choose a linear, quadratic, or exponential equation to model data and/or a graph. Use two or more graphs (box-and-whisker, histograms, scatter plots to compare data sets. Explain how sampling methods, bias, and phrasing of questions in data collection impact the conclusions. Recognize when arguments based on data confuse correlation with causation. Teacher made tests and quizzes Calculator assessments Algebra 1 (Prentice Hall) Developing Skills in Algebra 1 TI-84 programs (D. Smeltz) 15

16 Timeframe (9 Weeks/Month/Semester): February/March Radical Expressions and Equations LA.1.AI.8 LA.1.AI.9 SEI.2.AI.7 LA.1.AI.1 LA.1.AI.1 LA.1.AI.8 LA.1.AI.9 SEI.2.AI.8 Radical Simplification Pythagorean Theorem Distance and Midpoint Radical Operations Daily practice group and individual Vocabulary development Personal Word Wall Simplify radical expressions. Simplify radical expressions involving products and quotients. Solve problems using the Pythagorean Theorem. Identify right triangles. Find the distance between two points on a coordinate plane. Find the coordinates of the midpoint of a line segment. Simplify radical expressions by adding, subtracting, multiplying, and dividing. Apply formulas involving radicals to real life situations. Solve equations involving radicals. Identify extraneous solutions. Radical Equations Teacher made tests and quizzes Algebra 1 (Prentice Hall) Calculator assessments TI-84 programs (D. Smeltz) Timeframe (9 Weeks/Month/Semester): March/April/May Rational Expressions SEI.2.AI.6 SEI.2.AI.8 NLF.4.AI.4 LA.1.AI.1 LA.1.AI.6 Inverse Variation Graphs of Rational Functions Rational Expression Simplification Multiplication and Division Rational Equations Write equations to represent inverse variation given data. Compare inverse variation and direct variation. Graph rational functions with and without technology. Recognize various families of functions. Simplify rational expressions by factoring. Apply simplification techniques to multiply rational expressions. Convert division statements into multiplication by a reciprocal. Solve rational equations by finding a least common denominator. Teacher made tests and quizzes Calculator assessments EOC practice Daily practice with and without technology Vocabulary development Personal Word Wall Intensive review of all Algebra 1 topics in preparation for the Algebra 1 End of Course Exam Algebra 1 (Prentice Hall) Making Practice Fun TI-84 programs (D. Smeltz) ALMS 16

17 Harrison School District Curricular Documentation Algebra II Pam Jones Curriculum Coordinator 17

18 CURRICULUM MAP: Harrison School District Harrison School District Teacher: Fast/McFarland/Stahler August May 2008 Grade: HHS Subject: Algebra II Timeframe: August/September I. Algebra I Review LEI.2.AII.1 LEI.2.AII.5 A. Subsets of Real Numbers B. Equations with Irrational Numbers C. Solutions and Graphs of Linear Equations and Inequalities D. Basic Counting Methods and Permutations Reviewing types of numbers (Rational and Irrational) Solving equations using irrational numbers Solving one-variable equations and inequalities Solving absolute-value equations and inequalities Using basic counting methods Finding permutations II. Models and Functions: RF.1.AII.1 RF.1.AII.2 RF.1.AII.5 RF.1.AII.4 LEI.2.AII.1 A. Relations and Functions Notation, Composition, Operations B. Slope of a Line Defining and using relations and functions; deciding whether a relation is a function; combining and adding functions; piece-wise and step functions Defining and interpreting slope RF.1.AII.1 RF.1.AII.9 DAP.6.AII.1 LEI.2.AII.5 C. Graphical Models D. Solutions and Graphs of Absolute-Value Equations and Inequalities Making predictions regarding linear functions Organizing data in tables, matrices, and graphs; representing data graphically Solving and graphing equations and inequalities having two variables Graphing absolute-value equations having two variables 18

19 RF.1.AII.4 LEI.2.AII.1 DAP.6.AII.2 E. Vertical and Horizontal Translations Analyzing vertical and horizontal translation of a function Daily Practice Translate functions TI-Navigator questioning/response Pre-test Algebra I Teacher made quizzes and tests TI-Navigator System Algebra II book Skills and Concepts Review book Student Study materials Timeframe : October III. Linear Systems LEI.2.AII.1 LEI.2.AII.2 LEI.2.AII.4 LEI.2.AII.5 RF.1.AII.9 LEI.2.AII.5 LEI.2.AII.2 LEI.2.AII.4 RF.1.AII.9 LEI.2.AII.3 LEI.2.AII.3 A. Systems of Equations and Inequalities Substitution, Elimination, Graphs B. Linear Programming C. Systems of Equations in Three Variables IV. Matrices A. Matrices of Statistical Data B. Equal Matrices Operations with Matrices- Addition, Subtraction, Solutions, Scalar, Multiplication Solving a system by graphing Graphing systems of inequalities Using substitution to solve a system of equations Using elimination to solve a system of equations Solving linear programming problems Graphing points in three dimensions Graphing equations in three dimensions Using elimination to solve systems with three variables Using substitution to solve systems with three variables Organizing data into matrices Solving matrix equations Adding and subtracting matrices Multiplying matrices Using scalars to multiply Evaluate determinants of square matrices 19

20 Daily Practice TI-Navigator questioning/response Teacher made quizzes and tests TI-Navigator System Algebra II book Skills and Concepts Review book Student Study materials Interactive e-beam Timeframe: November RF.1.AII.4 LEI.2.AII.3 LEI.2.AII.3 RF.1.AII.3 LEI.2.AII.3 LEI.2.AII.3 LEI.2.AII.4 LEI.2.AII.5 C. Translations and Dilations D. Finite and Directed Graphs E. Inverses F. Systems of Equations - Matrices G. Matrices and the Graphing Calculator Representing translations and dilations with matrices Drawing and interpreting finite graphs Drawing and interpreting directed graphs Finding and using the inverse of a 2 x 2 matrix Using inverse matrices to solve matrix equations Solving systems of equations using inverse matrices Comparing methods used to solve systems Using the graphing calculator to graph matrices and perform operations with matrices RF.1.AII.1 QEF.3.AII.3 QEF.3.AII.5 DAP.6.AII.3 DAP.6.AII.4 V. Quadratic Equations and Functions A. Quadratic Functions Recognizing and using quadratic functions Deciding whether to use a linear or a quadratic model with and without the use of technology 20

21 RF.1.AII.4 QEF.3.AII.3 QEF.3.AII.5 B. Parabolas Comparisons and Translations Finding the minimum or maximum value of a quadratic function Graphing a parabola in vertex form Teacher made quizzes and tests TI-Navigator system Daily Practice Develop a parabola Use graphing calculators to solve systems of equations TI-Navigator questioning/response Algebra II book Skills and Concepts Review book Student Study materials Graphing Calculators 21

22 Timeframe: December QEF.3.AII.3 QEF.3.AII.5 RF.1.AII.3 QEF.3.AII.3 QEF.3.AII.5 QEF.3.AII.3 QEF.3.AII.5 C. Vertex and Standard Form of a Parabola D. Inverse and Square Root Functions E. Zero Product Property Finding the vertex of a function written in standard form Writing equations in vertex and standard forms Finding the inverse of a function Using square root functions Solving quadratic equations by factoring, finding square roots, and graphing Daily Practice TI-Navigator questioning/response Teacher made quizzes and tests TI-Navigator system Algebra II book Skills and Concepts Review book Student Study materials Graphing Calculators Timeframe: January QEF.3.AII.1 QEF.3.AII.2 QEF.3.AII.1 QEF.3.AII.2 QEF.3.AII.3 QEF.3.AII.4 QEF.3.AII.2 QEF.3.AII.5 F. Complex Numbers G. Quadratic Equations Complete the Square, Quadratic Formula H. Discriminant of Quadratic Formula Identifying and graphing complex numbers Adding, subtracting, and multiplying complex numbers Solving quadratic equations by completing the square Rewriting quadratic equations in vertex form Derive the quadratic formula and use it to solve quadratic equations Determining types of solutions using the discriminant 22

23 RF.1.AII.1 RF.1.AII.3 RF.1.AII.4 QEF.3.AII.1 PRF.4.AII.2 PRF.4.AII.5 PRF.4.AII.8 RF.1.AII.4 QEF.3.AII.1 PRF.4.AII.2 PRF.4.AII.7 PRF.4.AII.8 VI. Polynomials and Polynomial Functions A. Power Functions and Their Inverses B. Powers and Roots Exploring graphs of power functions Using exponents for radicals Using powers and roots to solve equations RF.1.AII.1 QEF.3.AII.1 PRF.4.AII.2 RF.1.AII.4 PRF.4.AII.2 PRF.4.AII.4 PRF.4.AII.1 QEF.3.AII.2 PRF.4.AII.1 PRF.4.AII.2 QEF.3.AII.1 QEF.3.AII.2 PRF.4.AII.1 PRF.4.AII.2 PRF.4.AII.1 C. Polynomial Functions D. Models of Data for Polynomial Functions E. Factored Form of a Polynomial F. Factors and Zeros of a Polynomial Function G. Solutions of Equations by Graphs and Factors H. Division of Polynomials Long Describing graphs of polynomial functions Fitting polynomial models to data Analyzing the factored form of a polynomial Writing a polynomial from its zeros Analyzing multiple zeros and factors Solving polynomial equations by factoring Solving polynomial equations by graphing Dividing polynomials 23

24 PRF.4.AII.2 and Synthetic Finding all the zeros of a polynomial Daily Practice Teacher made quizzes and tests Algebra II book Skills and Concepts Review book Student Study materials Graphing Calculators Timeframe: February PRF.4.AII.3 PRF.4.AII.3 I. Binomial Expansions and Pascal s Triangle J. The Binomial Theorem Using Pascal s triangle Using the binomial theorem QEF.3.AII.1 PRF.4.AII.8 QEF.3.AII.1 PRF.4.AII.7 PRF.4.AII.8 QEF.3.AII.1 RF.1.AII.2 RF.1.AII.9 VII. Roots and Radicals A. Roots and Radical Expressions B. Radical Expression Operation C. Rational Exponents D. Radical Equations E. Function Operations Simplify nth roots Add, subtract, multiply, and divide radical expressions Simplify expressions with rational exponents Solve radical equations Add, subtract, multiply, and divide functions Find composite of two functions 24

25 Daily Practice TI-Navigator questioning/response Teacher made quizzes and tests TI-Navigator System Timeframe: March Algebra II book Skills and Concepts Review book Student Study materials Graphing Calculators Interactive E-beam RF.1.AII.2 RF.1.AII.3 RF.1.AII.4 RF.1.AII.9 PRF.4.AII.8 ELF.5.AII.1 ELF.5.AII.2 ELF.5.AII.3 RF.1.AII.9 ELF.5.AII.1 DAP.6.AII.4 ELF.5.AII.3 ELF.5.AII.5 F. Inverse Relations and Functions G. Radical Functions VIII. Exponential and Logarithmic Functions A. Exponential Functions Models and Graphs B. Models of Growth and Decay C. The Number e Finding the inverse of a relation or a function Graphing radical functions Graphing exponential functions Identifying the role of constants in y = ab^(kx) Identifying domain, range, intercepts, asymptotes, and end behavior Using other bases, identify the effects on the graph Modeling exponential growth and decay with and without the use of technology Using e as a base ELF.5.AII.5 ELF.5.AII.6 D. Logarithmic Expressions Evaluation and Written Forms Using logarithmic notation Evaluating logarithmic expressions Graphing logarithmic functions Daily Practice M & M Exponential Growth and Decay Lab TI-Navigator questioning/response Teacher made quizzes and tests TI-Navigator system Algebra II book Skills and Concepts Review book Student Study materials Graphing Calculators 25

26 Timeframe: April ELF.5.AII.5 ELF.5.AII.6 ELF.5.AII.7 QEF.3.AII.1 ELF.5.AII.4 ELF.5.AII.5 ELF.5.AII.6 ELF.5.AII.7 ELF.5.AII.6 ELF.5.AII.7 PRF.4.AII.6 QEF.3.AII.1 E. Properties of Logarithms F. Equations Containing Exponents or Radicals G. Exponential and Logarithmic Equations H. Natural Logarithms IX. Rational Functions A. Rational Expressions Simplification, Multiplication, Division, Addition, Subtraction B. Conjugates Condensing and expanding logarithmic expressions Applying properties of logarithms Solving equations with exponents Using logarithms to solve exponential equations Using exponents to solve logarithmic equations Relating natural logarithms to the function Y = e^(x) Solving equations using natural logarithms Simplifying rational expressions Multiplying and dividing rational expressions Adding and subtracting rational expressions Identifying and classifying discontinuities of rational functions Identifying behavior near asymptotes Using conjugates to simplify radicals Daily Practice TI-Navigator questioning/response Teacher made quizzes and tests TI-Navigator system Algebra II book Skills and Concepts Review book Student Study materials Graphing Calculators 26

27 Timeframe: May X. Data Analysis and Probability DAP.6.AII.5 A. Data Analysis Calculate measures of central tendencies and draw and interpret box-and-whisker plots Compute and explain percentiles DAP.6.AII.5 B. Standard Deviation Compute and explain measures of spread including range, variance, and standard deviation DAP.6.AII.6 C. Normal Distributions Describe the characteristics of a Gaussian normal distribution RF.1.AII.6 RF.1.AII.7 RF.1.AII.8 XI. Periodic Functions A. Periodic Data Recognize periodic phenomena (sine or cosine functions such as sound waves, length of daylight, circular motion) Investigate and identify key characteristics of period functions and their graphs (period, amplitude, maximum, and minimum) Use basic properties of frequency and amplitude to solve problems Daily practice RAFT projects on terminology Who has, I have TI-Navigator questioning/response Teacher made quizzes and tests RAFT projects TI-Navigator system Algebra II book Skills and Concepts Review book Student Study materials Graphing Calculators Interactive e-beam 27

28 Harrison School District Curricular Documentation Algebraic Connections Pam Jones Curriculum Coordinator 28

29 CURRICULUM MAP: Harrison School District Harrison School District Teacher: Estes August May 2008 Grade: 10th-12th Subject: Algebraic Connections Timeframe: First Nine Weeks LF.2.AC.3 Graphical Models Organize data in tables, matrices, and graphs Represent data graphically LF.2.AC.3 NF.4.AC.6 Relations and Functions- Notation, Composition, Operations Define and use relations and functions Decide whether a relation is a function Combine and add functions NF.4.AC.6 LF.2.AC.4 LF.2.AC.5 LF.2.AC.6 LF.2.AC.7 LF.2.AC.4 LF.2.AC.5 LF.2.AC.6 LF.2.AC.7 LF.2.AC.8 LF.2.AC.4 LF.2.AC.5 LF.2.AC.7 Vertical and Horizontal Translations Slope and Slope Intercept Form of a Line Linear Equations in Slope Intercept and Standard Forms Piecewise Functions Equations of Lines Using Slope Intercept Form Analyze vertical and horizontal translation of a function Define and interpret slope Use the slope-intercept form to write equations Write linear equations in slope-intercept and standard forms Make predictions regarding linear functions Graph piecewise functions Use the slope intercept form to write an equation of a line Model a real-life situation with a linear equation LF.2.AC.4 LF.2.AC.5 Equations of Lines Given the Slope and a Poin Use slope and any point on a line to write an equation of the line Model a real-life situation with a linear equation 29

30 LF.2.AC.7 LF.2.AC.4 LF.2.AC.5 LF.2.AC.7 LF.2.AC.4 LF.2.AC.5 LF.2.AC.7 LF.2.AC.4 LF.2.AC.5 LF.2.AC.7 PS.1.AC.5 PS.1.AC.5 Equations of Lines Given Two Points Standard Form of a Linear Equation Point-Slope Form of the Equation of a Line Inductive and Deductive Reasoning Estimation and Graphs Write an equation of a line given two points on the line Model a real-life situation with a linear equation Transform a linear equation into standard form Model a real-life situation using the standard form of a linear equation Use the point-slope form to write an equation of a line Model a real-life situation using the point-slope form of a linear equation Understand and use inductive reasoning Understand and use deductive reasoning Use estimation techniques to arrive at an approximate answer to a problem Apply estimation techniques to information given by graphs PS.1.AC.5 Problem Solving Solve problems using the organization of the four-step problem-solving process Daily practice Use the graphing calculator in problem solving and using information derived from the graph of a linear equation Teacher made quizzes and tests Daily Observation/Participation Algebra II book Algebra I book Thinking Mathematically book Student study materials TI-Navigator system Timeframe: Second Nine Weeks PS.1.AC.3 Basic Set Concepts Apply set notation to sets of natural numbers Recognize equal and equivalent sets 30

31 PS.1.AC.3 PS.1.AC.3 PS.1.AC.3 PS.1.AC.3 Venn Diagrams and Subsets Venn Diagrams and Set Operations Set Operations and Venn Diagrams with Three Sets Surveys and Cardinal Numbers Understand the basic ideas of Venn diagrams Determine the number of subsets of a set Use Venn diagrams to visualize set relationships Perform operations with sets Use Venn diagrams with three sets Use Venn diagrams to illustrate equality of sets Use Venn diagrams to vfisualize a survey's results Use survey results to complete Venn diagrams and answer questions about the survey Connection Connection Connection NF.4.AC.2 NF.4.AC.2 Connection SEI.3.AC.6 NF.4.AC.5 Number Theory: Prime and Composite Numbers The Integers; Order of Operations The Rational Numbers The Irrational Numbers Real Numbers and Their Properties Exponents and Scientific Notation Arithmetic and Geometric Sequences Write the prime factorization of a composite number Find the greatest common divisor and the least common multiple of two numbers Solve problems using the greatest common divisor and the least common multiple Define and graph integers on a number line Perform operations with integers Define and reduce rational numbers Perform operations with rational numbers Define irrational numbers Simplify and perform operations with square roots Rationalize the denominator Recognize subsets of the real numbers Recognize properties of real numbers Use properties of exponents Convert from scientific notation to decimal notation, vice versa Perform computations using scientific notation Solve applied problems using scientific notation Write terms of an arithmetic and geometric sequence Use the formula for the general term of an arithmetic and geometric sequence 31

32 SEI.3.AC.1 SEI.3.AC.1 SEI.3.AC.3 SEI.3.AC.6 Algebraic Expressions and Formulas Linear Equation solutions Evaluate, understand the vocabulary, and simplify algebraic expressions Evaluate formulas Solve linear equations Solve for a variable in an equation or formula Identify equations with no solution or infinitely many solutions SEI.3.AC.6 NF.4.AC.5 Applications of Linear Equations Solve problems using linear equations SEI.3.AC.6 SEI.3.AC.1 NF.4.AC.1 NF.4.AC.1 NF.4.AC.3 Ratio, Proportion, and Variation Linear Inequality Solutions Polynomial Factoring Quadratic Equation Solutions Find ratios and solve proportions Solve problems using proportions, direct variation, and inverse variation Graph the solutions of an inequality on a number line Solve linear inequalities and applied problems using linear inequalities Factor polynomials that have a monomial factor, that are the difference of two perfect squares, and that are perfect-square trinomials Factor a quadratic trinomial or recognize that it cannot be factored Use factoring to solve quadratic equations Multiply binomials using the FOIL method Factor trinomials Solve quadratic equations by factoring Solve quadratic equations using the quadratic formula Daily practice Tic-Tac-Toe Factoring Method AC Factoring Method Tic-Tac-Toe Match the Factors Use graphing calculators in working with quadratic equations Teacher made quizzes and tests Vocabulary Journal (kept in notebook) RAFT project on terminology Daily Observation/Participation Algebra I book Thinking Mathematically book Student study materials TI-Navigator system 32

33 Timeframe: Third Nine Weeks SEI.3.AC.4 LF.2.AC.4 LF.2.AC.5 LF.2.AC.7 NF.4.AC.4 NF.4.AC.5 Graphs and Functions Linear Functions and Their Graphs Quadratic Functions and Their Graphs Plot ordered pairs in the rectangular coordinate system Graph functions and equations Use f(x) notation and the vertical line test Obtain information about a function from its graph Use intercepts to graph a linear equation Calculate slope Use the slope and y-intercept to graph a line Graph horizontal and vertical lines Interpret slope and y-intercept in applied situations Graph parabolas Solve applied problems based on knowing a parabola's vertex NF.4.AC.6 SEI.3.AC.1 SEI.3.AC.2 SEI.3.AC.1 SEI.3.AC.2 Exponential Functions Systems of Linear Equations Linear Inequalities in Two Variables Graph exponential functions Solve applied problems using exponential functions Decide whether an ordered pair is a solution of a linear system Solve linear systems by graphing, substitution, and elimination Identify systems that do not have exactly one ordered-pair solution Solve problems using systems of linear equations Graph a linear inequality Graph a system of linear inequalities SEI.3.AC.5 Measurement Use dimensional analysis to change units of measurement Use square units to measure area Use dimensional analysis to change units for area Use cubic units to measure volume 33

34 SEI.3.AC.4 SEI.3.AC.5 Geometry Understand points, lines, and planes as the basis of geometry Solve problems involving angle measures Solve problems involving angles formed by parallel lines and trnsversals Solve problems involving angle relationships in triangles Solve problems involving similar triangles Solve problems using the Pythagorean Theorem Name certain polygons according to the number of sides Recognize the characteristics of certain quadrilaterals Use area formulas to compute the areas of plane rgions and solve applied problems Use formulas for a circle's circumference and area Use volume formulas to compute the volumes of three-dimensional figures and solve applied problems Compute the surface area of a three-dimensional figure Use the lengths of the sides of a right triangle to find trigonometric ratios Use trigonometric ratios to find missing parts of right triangles PS.1.AC.1 PS.1.AC.1 PS.1.AC.1 PS.1.AC.2 PS.1.AC.3 PS.1.AC.4 The Fundamental Counting Principle Permutations Combinations Fundamentals of Probability Use the Fundamental Counting Principle to determine the number of possible outcomes in a given situation Use the Fundamental Counting Principle to count permutations Evaluate factorial expressions Distinguish between permutation and combination problems Solve problems involving combinations using the combinations formula Compute theoretical and empirical probability PS.1.AC.1 PS.1.AC.3 PS.1.AC.4 Probability with the Fundamental Counting Principle, Permutations, and Combinations Events Involving Not, Or, and And; Odds; Conditional Probability Compute probabilities with permutations and combinations Find the probability that an event will occur Find the probability of one event or a second event occurring Understand and use odds Compute conditional probabilities 34

35 Daily practice Use the graphing calculators in working with probabilities and solving system of equations Teacher made quizzes and tests Daily Observation/Participation Thinking Mathematically book Student study materials TI-Navigator system Timeframe: Fourth Nine Weeks PS.1.AC.5 LF.2.AC.1 Sampling, Frequency Distributions, and Graphs Describe the population whose properties are to be analyzed Select an appropriate sampling technique Organize and present data Identify deceptions in visual displays of data PS.1.AC.5 Measures of Central Tendency Determine the mean, median, mode, and midrange for a set of data LF.2.AC.2 The Normal Distribution, Scatter Plots, Correlations, and Regression Lines Recognize characteristics of normal distributions Understand and use percentiles Make a scatter plot for a table of data items Interpret information given in a scatter plot Compute the correlation coefficient Write the equation of regression line SEI.3.AC.6 Consumer Mathematics and Financial Management Work with percent problems Calculate simple and compound interest Engage in the Installment Buying process Understand and determine the Cost of Home Ownership Understand Investing in Stocks, Bonds, and Mutual Funds Daily practice Graphic Organizers Use the graphing calculators in working with scatter plots and regression lines Teacher made quizzes and tests Vocabulary Journal (kept in notebook) RAFT project on terminology Daily Observation/Participation Thinking Mathematically book Student study materials TI-Navigator system 35

36 Harrison School District Curricular Documentation Geometry Pam Jones Curriculum Coordinator 36

37 CURRICULUM MAP: Harrison School District Harrison School District Teacher(s): Estes/Vance/Walden August May 2008 Grade: HHS Subject: Geometry FRAMEWORK S CONTENT Timeframe: August/September SKILLS I. Tools of Geometry LG.1.G.1 LG1.G.3 A. Patterns and Inductive Reasoning Use inductive reasoning to make conjectures LG.1.G.2 LG.1.G.3 B. Points, Lines, and Planes Understand basic terms of geometry Understand basic postulates of geometry LG.1.G.2 LG.1.G.5 C. Segments, Rays, Parallel Lines and Planes Relate segments and rays to lines Recognize parallel lines and parallel planes LG.1.G.4 D. Angle and Segment Measurement Find the length of a segment or the measure of an angle LG.1.G.6 CGT.5.G.1 M.3.G.2,M.3.G.3,C.G.T.5.G.1 Area Daily Practice Cabri Geometry calculator activities E. The Coordinate Plane distance and midpoint Find the distance between two points in a coordinate plane Find the coordinates of the midpoint of a segment in a coordinate plane F. Perimeter, Circumference & Find perimeter of squares, rectangles, and circumference of circles Find the area of rectangles, squares and circles. Teacher made quizzes and tests Daily Observations TI-Navigator poll/short quiz Geometry TextbookSkills and Concepts Review book Student Study materials Graphing Calculators 37

38 Timeframe: October LG.1.G.1 Conditional statements Recognize conditional statements Write the converse, inverse and contrapositive of conditional statements. LG.1.G.1, LG.1.G.6 Deductive Reasoning Define, identify deductive reasoning. LG.1.G.6 LG.1.G.4 LG.1.G.6 Reasoning and algebra Proving Angles congruent Justify steps in a logical argument. Identify vertical angels, adjacent angles, complementary angles, supplementary angles Prove and apply theorems about angles. Daily Practice Teacher made quizzes and tests Geometry TextbookSkills and Concepts Review Daily Observations book TI-Navigator poll/short quiz Student Study materials Graphing Calculators 38

39 Timeframe: October LG.1.G.5 LG.1.G.6 PROPERTIES OF Parallel lines Identify angles formed by two lines and a transversal. Prove properties of parallel lines. R.4.G.2 Parallel lines and the Triangle Angle-Sum Theorem. To classify triangles and find the measures of their angles. LG.1.G3 M.3.G.3 R.4.G.2 CGT.5.G.1 CGT.5.G.2 CGT.5.G.1 CGT.5.G.2 The polygon angle-sum theorems. Lines in the coordinate plane. Slopes of parallel and perpendicular lines Classify polygons Find the sums of the measures of the interior and exterior angles of polygons. Graph lines given their equation. Write equations of lines parallel to a given line through a given point. Write the equation of a line perpendicular to a line through a given point. Write the equation of the perpendicular bisector of a line segment. Relate slope and parallel and perpendicular lines. Write the equations for a line parallel or perpendicular to the given line. Daily Practice Cabri geometry activities Teacher made quizzes and tests Geometry TextbookSkills and Concepts Review Daily Observations book TI-Navigator poll/short quiz Student Study materials Graphing Calculators 39

40 Timeframe: October/November Students will be able to recognize: LG.1.G6 T.2.G.1 Congruent figures Congruent figures and their corresponding parts. LG.1.G.6 T.2.G.1 T.2.G.3 M.3.G.3 LG.1.G.6 T.2.G.1 T.2.G.3 R.4.G.2 LG.1.G.6 T.2.G.3 LG.1.G.6 T.2.G.1 Triangle Congruence by SSS, SAS, ASA, and AAS Isosceles and Equilateral Triangles Congruence in Right Triangles Using Corresponding Parts of Congruent Triangles Prove two triangles congruent using SSS and SAS postulates. Prove two triangles congruent using the ASA postulate and the AAS postulate. Use and apply properties of isosceles triangles. Prove triangles congruent using the HL Theorem. Identify congruent overlapping triangles. Prove two triangles congruent by first proving tow other triangles congruent. Teacher made quizzes and tests Geometry TextbookSkills and Concepts Review Daily Practice Daily Observations TI-Navigator poll/short quiz book Student Study materials Graphing Calculators Timeframe: November T.2.G.3 M.3.G.3 M.3.G.5 Midsegments of Triangles The student will be able to: Use properties of midsegments to solve problems. T.2.G.3 T.2.G.3 M.3.G.3 R.4.G.6 LG.1.G.1 Bisectors of Triangles Concurrent Lines, Medians, and Altitudes Inverses, Contrapositives, and Indirect Use properties of perpendicular bisectors and angle bisectors. Identify properties of perpendicular lines and angle bisectors. Identify properties of medians and altitudes of atriangles. Write the negation of a statement and the inverse and contrapositive of a conditional statement. 40

41 LG.1.G.6 T.2.G.2 M.3.G.3 R.4.G.4 Reasoning Inequalities in Triangles Use Inequalities involving angles and sides of triangles. Daily Practice Teacher made quizzes and tests Daily Observations TI-Navigator poll/short quiz Timeframe: December LG.1.G.3 R.4.G.1 CGT.5.G.5 LG.1.G.6 R.4.G.1 R.4.G.2 M.3.G.5 LG.1.G.3 LG.1.G.6 R.4.G.1 LG.1.G.3 M.3.G.3 R.4.G.1 R.4.G.1 R.4.G.2 R.4.G.1 CGT.5.G.1 Classifying Quadrilaterals Properties of Parallelograms Proving That a Quadrilateral is a Parallelogram Special Parallelograms Trapezoids and Kites Placing Figures in the Coordinate Plane Define and classify special types of triangles. Use relationships among sides and among angles of parallelograms, Use relationships involving diagonals of parallelograms or transversals. Determine whether a quadrilateral is a parallelogram. Use properties of diagonals of rhombuses and rectangles. Determine whether a parallelogram is a rhombus or a rectangle. Verify and use properties of trapezoids and kites. Prove theorems using the coordinate plane. 41

42 Daily Practice Teacher made quizzes and tests Geometry TextbookSkills and Concepts Review Daily Observations book TI-Navigator poll/short quiz Student Study materials Graphing Calculators Timeframe: January M.3.G.2 CGT.5.G.1 Areas of Parallelograms and Triangles Find the area of a parallelogram. Find the area of a triangle. T.2.G.4 M.3.G.2 T.2.G.5 M.3.G.2 T.2.G.5 M.3.G.2 T.2.G.5 M.3.G.2 R.4.G.2 LG.1.G.3 R.4.G.5 LG.1.G.3 M.3.G.3 R.4.G.5 R.4.G.6 M.3.G.1 The Pythagorean Theorem and It s Converse Special Right Triangles Areas of Trapezoids, Rhombuses, and Kites Areas of Regular Polygons Circles and Arcs Areas of Circles and Arcs Use the Pythagorean Theorem and its converse. Use the properties of the and the triangle. Find the area of a trapezoid, rhombus and a kite. Find the area of a regular polygon. Find the measures of central angles and arcs. Find the areas of circles, sectors and segments of circles. Geometric Probability Use segment and area models to find the probability of events. Teacher made quizzes and tests Daily Observations TI-Navigator poll/short quiz Daily Practice Cabri Geometry graphing calculator activities Geometry TextbookSkills and Concepts Review book Student Study materials Graphing Calculators 42

43 FRAMEWORK S CONTENT Timeframe: January/February Students will be able to: SKILLS M.3.G.4 Ratios and Proportions Write ratios and solve proportions. TG.2.G.1 M.3.G.4 Similar Polygons Identify similar polygons. Apply similar polygons. T.2.G.1 M.3.G.4 T.2.G.1 M.3.G.4 M.3.G.3 M.3.G.4 M.3.G.5 M.3.G.3 M.3.G.4 Proving Triangles Similar Similarity in Right Triangles Proportions in Triangles Perimeter and Areas of Similar Figures Use and apply AA, SAS, and SSS similarity statements. Find and use relationships in similar right triangles. Use the side splitter theorem. Use the triangle-angle-bisector theorem. Find the perimeters and areas of similar figures. Daily Practice Teacher made quizzes and tests Geometry TextbookSkills and Concepts Review Daily Observations book TI-Navigator poll/short quiz Student Study materials Graphing Calculators FRAMEWORK S CONTENT Timeframe: February/ March SKILLS T.2.G.6 T.2.G.7 T.2.G.6 T.2.G.7 M.3.G The Tangent Ratio Sine and Cosine Ratios Use tangent ratios to determine side lengths in triangles. Use sine and cosine to determine side lengths in triangles. 43

44 T.2.G.6 T.2.G.7 Angles of Elevation and Depression Use angles of elevation and depression to solve problems. Daily Practice FRAMEWORK S Teacher made quizzes and tests Geometry TextbookSkills and Concepts Review Daily Observations book TI-Navigator poll/short quiz Student Study materials Graphing Calculators Timeframe: March/April CONTENT SKILLS R.4.G.4 R.4.G.7 R.4.G.7 R.4.G.8 M.3.G.2 M.3.G.3 M.3.G.2 M.3.G.2 T.2.G.2 M.3.G.2 M.3.G.2 Space Figures and Nets Space Figures and Drawings Surface Areas of Prisms and Cylinders Surface Areas of Pyramids and Cones Volumes of Prisms and Cylinders Volumes of Pyramids and Cones Surface Areas and Volumes of Spheres Recognize nets of space figures. Make isometric and orthographic drawings. Describe cross sections of three-dimensional figures. Find the surface area of a prism. Find the surface area of a cylinder. Find the surface area of a pyramid. Find the surface area of a cone. Find the volume of a prism and a cylinder. Find the volume of a pyramid and a cone. Find the surface area and volume of a sphere. M.3.G.3 M.3.G.4 Daily Practice Areas and Volumes of Similar Solids Find relationships between the ratios of areas and volumes of similar solids. Teacher made quizzes and tests Geometry TextbookSkills and Concepts Review Daily Observations book TI-Navigator poll/short quiz Student Study materials Graphing Calculators 44

45 FRAMEWORK S R.4.G.5 R.4.G.5 R.4.G.5 R.4.G.6 Tangent Lines Chords and Arcs Inscribed Angles CONTENT Timeframe: April/May SKILLS Students will be able to: Use relationships between a radius and a tangent. Use relationships between two tangents from one point. Use congruent chords, arcs, and central angles. Recognize properties of lines through the center of a circle. Find the measure of an inscribed angle. Find the measure formed by a tangent and a chord. R.4.G.5 CGT.5.G.6 Angle Measures and Segment Lengths Circles in The Coordinate Plane Find the measures of angles formed by chords, secants and tangents. Find the lengths of segments associated with circles. Write and equation of a circle. Find the center and radius of a circle. CGT.5.G.7 CGT.5.G.7 CGT.5.G.7 R.4.G.3 CGT.5.G.7 Reflections Translations Rotations Tessellations Dilations Identify isometries. Find the reflection of an image. Describe translations using vectors. Find translation images using matrix and vector sums. Draw and identify rotation images of figures. Identify Figures that will tessellate. Locate dilation images of figures. Daily Practice Teacher made quizzes and tests Geometry TextbookSkills and Concepts Review Daily Observations book TI-Navigator poll/short quiz Student Study materials Graphing Calculators 45

46 Harrison School District Curricular Documentation Investigating Geometry Pam Jones Curriculum Coordinator 46

47 CURRICULUM MAP: Harrison School District Harrison School District Teacher: Estes/Vance August May 2008 Grade: HHS Subject: Investigating Geometry Timeframe: Semester I L.G.1.G.2 Building Blocks of Geometry -Represent point, line, plane, ray, and segment with proper notation and description or definition. R.4.G.2 -define and classify polygons according to the number of sides. C.G.T.G. 1 R.4.G.1 R.4.G.5 Coordinate Geometry Quadrilaterals Circles -use midpoint formula to find midpoint of a segment. -define and classify quadrilaterals according to their properties. -define circles and their parts including: arcs, chords, tangents, secants, Daily Practice Checkpoint Quizzes -Discovering Geometry; Text Teacher Made Test -ACTAAP released Items Notebook; Vocabulary Journal - Geometer s Sketch Pad Timeframe: Semester I R.4.G.7 R.4.G.8 L.G.1.G.1 Geometric Solids Reasoning -define and identify geometric solids including: prisms, pyramids, cylinders, cones, spheres. -identify and sketch cross sections of various solids -define, compare and contrast inductive and deductive reasoning. -apply inductive reasoning to find the next term in the sequence, find the nth term. -apply mathematical models to solve problems. 47